Here is a list of the factoring techniques that we have discussed. a. Factoring out the GCF b. Factoring by grouping c. Factoring trinomials by trial and error d. Factoring the difference of two squares A 2 − B 2 = ( A + B ) ( A − B ) e. Factoring perfect square trinomials A 2 + 2 A B + B 2 = ( A + B ) 2 A 2 − 2 A B + B 2 = ( A − B ) 2 f. Factoring the sum of two cubes A 3 + B 3 = ( A + B ) ( A 2 − A B + B 2 ) g. Factoring the difference of two cubes A 3 − B 3 = ( A − B ) ( A 2 + A B + B 2 ) The algebraic expression ( x + 1 ) 1 2 − 1 3 ( x + 1 ) 3 2 can be factored using______ as the greatest common factor. Fill in each blank by writing the letter of the technique (a through g) for factoring the polynomial.
Here is a list of the factoring techniques that we have discussed. a. Factoring out the GCF b. Factoring by grouping c. Factoring trinomials by trial and error d. Factoring the difference of two squares A 2 − B 2 = ( A + B ) ( A − B ) e. Factoring perfect square trinomials A 2 + 2 A B + B 2 = ( A + B ) 2 A 2 − 2 A B + B 2 = ( A − B ) 2 f. Factoring the sum of two cubes A 3 + B 3 = ( A + B ) ( A 2 − A B + B 2 ) g. Factoring the difference of two cubes A 3 − B 3 = ( A − B ) ( A 2 + A B + B 2 ) The algebraic expression ( x + 1 ) 1 2 − 1 3 ( x + 1 ) 3 2 can be factored using______ as the greatest common factor. Fill in each blank by writing the letter of the technique (a through g) for factoring the polynomial.
Solution Summary: The author explains that there are numerous factoring techniques that are used to factorize the polynomials.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
Choose the function to match the graph.
-2-
0
-7
-8
-9
--10-
|--11-
-12-
f(x) = log x + 5
f(x) = log x - 5
f(x) = log (x+5)
f(x) = log (x-5)
9
10
11
12
13 14
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